51532900 has 36 divisors (see below), whose sum is σ = 114562980. Its totient is φ = 20108800.

The previous prime is 51532891. The next prime is 51532909. The reversal of 51532900 is 923515.

It is an interprime number because it is at equal distance from previous prime (51532891) and next prime (51532909).

It can be written as a sum of positive squares in 6 ways, for example, as 295936 + 51236964 = 544^2 + 7158^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (51532909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2185 + ... + 10384.

It is an arithmetic number, because the mean of its divisors is an integer number (3182305).

Almost surely, 2^51532900 is an apocalyptic number.

51532900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51532900 is an abundant number, since it is smaller than the sum of its proper divisors (63030080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51532900 is a wasteful number, since it uses less digits than its factorization.

51532900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12624 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 51532900 is about 7178.6419328450. The cubic root of 51532900 is about 372.1301525540.

The spelling of 51532900 in words is "fifty-one million, five hundred thirty-two thousand, nine hundred".